Opposites in math are called inverses. There are two of these inverses: an additive and a multiplicative. The additive inverse of a number is that number multiplied by -1. If this is added to the number, then the result will be 0. The multiplicative inverse of a number is its reciprocal. This is the number converted into a fraction then flipped. If you multiply a number with its multiplicative inverse, the result will be 1.
The additive inverse of a number a is the number -a because a + (-a) = 0. For 5.42, the additive inverse is -5.42 because 5.42 + (-5.42) = 0. The multiplicative inverse of a number a is the number 1/a because a(1/a) = 1. For 5.42, the multiplicative inverse is 1/5.42 = 0.1845.
The answer depends on the context for opposition: the additive inverses are whole numbers but the multiplicative inverses are not (except in the case of -1 and +1).
0 is the same as its additive inverse. +1 and -1 are the same as their multiplicative inverses (respectively).
A pair of additive inverses. If the word "additive" is not used, there is no way of differentiating from multiplicative inverses: x and 1/x which multiply to 1.
All rational numbers, with the exception of zero (0), have a multiplicative inverse. In fact, all real numbers (again, except for zero) have multiplicative inverses, though the inverses of irrational numbers are themselves irrational. Even imaginary numbers have multiplicative inverses (the multiplicative inverse of 5i is -0.2i - as you can see the inverse itself is also imaginary). Even complex numbers (the sum of an imaginary number and a real number) have multiplicative inverses (the inverse of [5i + 2] is [-5i/29 + 2/29] - similar to irrational and imaginary numbers, the inverse of a complex number is itself complex). The onlynumber, in any set of numbers, that does not have a multiplicative inverse is zero.
Additive identity: zero. Multiplicative identity: one.
The additive inverse is the inverse under addition; the multiplicative inverse is the inverse under multiplication. For example, the additive inverse of any real or complex number is its negative: the inverse of 3 is -3 and vice versa. The multiplicative inverse of a number other than 0 (which has no such inverse) is its reciprocal: the inverse of 2 is 1/2, and vice versa. Adding a number and its additive inverse gives the additive identity, 0. Multiplying a number by its multiplicative inverse gives the multiplicative identity, 1.
The opposite of a number can be itself when its the sum of two numbers and we only be switching the positions of inputs and the order is changed. The opposite of opposite of negative number is opsitive number Okay!
Additive inverses or additive opposites.
They are called the additive inverses!
Additive inverse: -2.5 Multiplicative inverse: 0.4
There are two main types of inverses. Additive inverses total zero. Any number and its negative are inverses. 3 and -3 are inverses. Multiplicative inverses total 1. 3/4 and 4/3 are inverses. 3/4 x 4/3 = 12/12 = 1 Most often, the word inversely in math means upside down.
It is the "reciprocal" although this term is usually restricted to inverses of integers.
They are additive inverses of each other. They are often called opposites, but that is not good practise. You can have multiplicative inverses (1/2 and 2 because they multiply to 1), and will you call them opposites also?
The answer is -1/2 . Pairs of number that multiply together to get 1 are called multiplicative inverses of each other.
Yes, almost half of them have additive inverses which are negative.
1 is the multiplicative identity.
equidistant from zero on a standard number line
When you multiply a number times 1, you can get the same number multiplicative identity. When you add a 0 to a number, you can get the same number additive identity.
The additive opposite of the additive opposite is the number itself. The multiplicative opposite of the multiplicative opposite is the number itself, unless the number was 0, in which case the first opposite is not defined.
The additive inverse of a number is the negative of that number. Given one number, its additive inverse is the number that needs to be added to it so that the sum is zero. Thus: The additive inverse of 2.5 is -2.5 The additive inverse of -7.998 is 7.998
The multiplicative inverse of -3 is -(1/3) or negative one-third. The multiplicative inverse of a number is the number that you multiply it by to get a result of 1 (the multiplicative identity). So, since -3 times -(1/3) is 1, -(1/3) is the multiplicative inverse of -3. Similarly, +3 is the ADDITIVE inverse of -3. The additive inverse of a number is the number you add to it to get a result of 0 (the additive identity). So, since -3 + (+3) = 0, +3 is the additive inverse of -3. The original answer given here was that the multiplicative inverse of -3 is +3, which is flat incorrect.
The answer depends on the context.The additive opposite of a number, X, is the number -X. The two numbers add to make 0 (the additive identity). To get the additive opposite of a number simply change its sign: from + to - or from - to +.The multiplicative opposite of a number, X, is the number 1/X. The two numbers multiply to 1 (the multiplicative identity).The answer depends on the context.The additive opposite of a number X is -X. It is the number with the same value but the opposite sign. This means that the two numbers sum to 0, the additive identity.The multiplicative opposite of a number Y is 1/Y. It is the "reciprocal" of the number or 1 over the number. This means that the two numbers multiply to 1, the multiplicative identity.
The additive opposite is itself and its multiplicative opposite is not defined.